Daisuke Takahashi of Japan performs in the men’s free skating during All Japan Figure Skating Championships in Saitama, near Tokyo, on Dec. 22, 2013.

The show must go on.

Japanese figure skater and Olympic-medal hopeful Daisuke Takahashi said he intends to stick with the music for his short program at the Sochi Winter Games despite last week’s revelations that its purported composer had paid a ghostwriter to pen the piece.

He has little choice considering that the confession by Mamoru Samuragochi–who had been dubbed “Japan’s Beethoven” but whose supposed deafness is now also questioned–came only a week before the 2010 bronze medalist was scheduled to perform to the piece in Thursday’s men’s short program.

But while it may be too late to change his routine, the Japan Skating Federation said the name of the composer for the piece, “Sonatina for Violin,” will be omitted from the program when Mr. Takahashi performs to the composition on Thursday.

A JSF official said Monday when asked about the move that it wasn’t exactly clear how the presentation of the music would appear on screen when Mr. Takahashi’s performance is broadcast to global audiences.

Mr. Samuragochi, who won widespread recognition for symphonies and music for popular video games, acknowledged last week that he had paid a ghostwriter to compose his music. The story took a further twist when a university lecturer on composition stepped forward and said he was the brains behind Mr. Samuragochi’s music for the past 18 years, and alleged that the deaf composer actually was able to hear – a claim Mr. Samuragochi’s lawyer denies.

The ghost composer, Takashi Niigaki, said he was impelled to come forward before the music was played in front of a global audience in Sochi. But the confessions cast an awkward spotlight on Mr. Takahashi during a sensitive period. “This is an important time before the Olympics—he will do what needs to be done in earnest ahead of the main competition,” the skater’s management team said in a statement last week after Mr. Samuragochi’s confession.

But Mr. Takahashi appeared to be taking the news in stride.

“I’m just surprised. But regardless of who made it or how, the music is fantastic. I just want to concentrate on how to express this fantastic piece,” Mr. Takahashi told reporters on Sunday in Sochi.

Mr. Samuragochi has yet to appear in public after he released the confession in the form of a statement through his lawyer last Wednesday. His lawyer couldn’t be reached for comment Monday.

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Japan Real Time is a newsy, concise guide to what works, what doesn’t and why in the one-time poster child for Asian development, as it struggles to keep pace with faster-growing neighbors while competing with Europe for Michelin-rated restaurants. Drawing on the expertise of The Wall Street Journal and Dow Jones Newswires, the site provides an inside track on business, politics and lifestyle in Japan as it comes to terms with being overtaken by China as the world’s second-biggest economy. You can contact the editors at japanrealtime@wsj.com